Answer:
The final kinetic energy is half of the sled's original kinetic energy.
Explanation:
The law of conservation of momentum is:
initial momentum = final momentum
[tex]mv_{1} =(m+m)v_{2} \\v_{2} =\frac{v_{1} }{2}[/tex]
The initial kinetic energy is equal to:
[tex]E_{ki} =\frac{1}{2} mv_{1} ^{2}[/tex]
The final kinetic energy is:
[tex]E_{kf} =\frac{1}{2} (m+m)v_{2} ^{2} \\E_{kf} =mv_{2} ^{2} \\E_{kf} =m(\frac{v_{1} }{2} )^{2} \\E_{kf} =\frac{1}{2} E_{ki}[/tex]
As you can see from the result, the final kinetic energy is half of the sled's original kinetic energy.
